Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow
Solutions for a class of nonlinear second-order differential equations arising in steady Poiseuille flow of an Oldroyd six-constant model are obtained using the quasilinearization technique. Existence, uniqueness, and analyticity results are established using Schauder theory. Numerical results are p...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/DENM/2006/71717 |
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| _version_ | 1832553662535172096 |
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| author | F. Talay Akyildiz K. Vajravelu |
| author_facet | F. Talay Akyildiz K. Vajravelu |
| author_sort | F. Talay Akyildiz |
| collection | DOAJ |
| description | Solutions for a class of nonlinear second-order differential
equations arising in steady Poiseuille flow of an Oldroyd
six-constant model are obtained using the quasilinearization
technique. Existence, uniqueness, and analyticity results are
established using Schauder theory. Numerical results
are presented graphically and salient features of the solutions
are discussed. |
| format | Article |
| id | doaj-art-15a0690fb6a947de80490076cb85fa29 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-15a0690fb6a947de80490076cb85fa292025-02-03T05:53:32ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022006-01-01200610.1155/DENM/2006/7171771717Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flowF. Talay Akyildiz0K. Vajravelu1Department of Mathematics, Arts and Science Faculty, Ondokuz Mayis University, Kurupelit Samsun 55139, TurkeyDepartment of Mathematics, University of Central Florida, Orlando 32816, FL, USASolutions for a class of nonlinear second-order differential equations arising in steady Poiseuille flow of an Oldroyd six-constant model are obtained using the quasilinearization technique. Existence, uniqueness, and analyticity results are established using Schauder theory. Numerical results are presented graphically and salient features of the solutions are discussed.http://dx.doi.org/10.1155/DENM/2006/71717 |
| spellingShingle | F. Talay Akyildiz K. Vajravelu Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow Differential Equations and Nonlinear Mechanics |
| title | Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow |
| title_full | Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow |
| title_fullStr | Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow |
| title_full_unstemmed | Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow |
| title_short | Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow |
| title_sort | existence uniqueness and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow |
| url | http://dx.doi.org/10.1155/DENM/2006/71717 |
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